2220105331440 has 120 divisors (see below), whose sum is σ = 7470165660048. Its totient is φ = 590891658240.

The previous prime is 2220105331429. The next prime is 2220105331537. The reversal of 2220105331440 is 441335010222.

2220105331440 is a `hidden beast` number, since 2 + 220 + 105 + 331 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2584074 + ... + 3334313.

Almost surely, 2^{2220105331440} is an apocalyptic number.

2220105331440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220105331440 is an abundant number, since it is smaller than the sum of its proper divisors (5250060328608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2220105331440 is a wasteful number, since it uses less digits than its factorization.

2220105331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918927 (or 5918918 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 2220105331440 in words is "two trillion, two hundred twenty billion, one hundred five million, three hundred thirty-one thousand, four hundred forty".